production
Skip to Content

MA2508: LINEAR ALGEBRA II (2017-2018)

Last modified: 27 Feb 2018 15:20


Course Overview

Linear algebra is the study of vector spaces and linear maps between them and it is a central subject within mathematics.

It provides foundations for almost all branches of mathematics and sciences in general. The techniques are used in engineering, physics, computer science, economics and others. For example, special relativity and quantum mechanics are formulated within the framework of linear algebra.

 

The two courses Linear Algebra I and II aim at providing a solid foundation of the subject.

Course Details

Study Type Undergraduate Level 2
Session Second Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus Old Aberdeen Sustained Study No
Co-ordinators
  • Dr Ellen Henke

Qualification Prerequisites

  • [$2]

What courses & programmes must have been taken before this course?

  • MA2008 Linear Algebra I (Studied)

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

This is the second part of the two parts course on linear algebra. The whole course contains the following topics:

* Fields
* Vector spaces
* Linear maps
* Matrices
* Linear equations
* Eigenvalues and eigenvectors

 

Syllabus

  • The ring of polynomials with coefficients in a field.
  • The various definitions of the determinant. Properties and methods of calculation. Finding the inverse of a matrix using cofactors.
  • Eigenvalues and eigenvectors of square matrices and of endomorphisms. Properties.
  • Diagonalization
  • Minimal polynomial, characteristic polynomial, Cayley-Hamilton theorem.
  • Orthogonal bases and the Gram-Schmidt procedure.
  • Product spaces, symmetric matrices, orthogonal transformations, unitary transformations.
  • Jordan normal forms if time allows.

Degree Programmes for which this Course is Prescribed

  • BSc Applied Mathematics
  • BSc Computing Science-Mathematics
  • BSc Mathematics
  • BSc Mathematics with French
  • BSc Mathematics with Gaelic
  • MA Business Management - Mathematics
  • MA Mathematics
  • MA Mathematics with Gaelic
  • Mathematics Joint
  • Mathematics Major
  • Mathematics Minor

Contact Teaching Time

43 hours

This is the total time spent in lectures, tutorials and other class teaching.

Teaching Breakdown


Assessment

1st Attempt

1 two-hour written examination (80%); in-course assessment (20%).

Formative Assessment

None.

Feedback

In-course assignments will normally be marked within one week and feedback provided to students in tutorials. Students will be invited to contact Course Coordinator for feedback on the final examination.

Compatibility Mode

We have detected that you are have compatibility mode enabled or are using an old version of Internet Explorer. You either need to switch off compatibility mode for this site or upgrade your browser.